6(2n+1)=9(6n+4)+7

Solution for 6(2n+1)=9(6n+4)+7 equation:

Simplifying
6(2n + 1) = 9(6n + 4) + 7

Reorder the terms:
6(1 + 2n) = 9(6n + 4) + 7
(1 * 6 + 2n * 6) = 9(6n + 4) + 7
(6 + 12n) = 9(6n + 4) + 7

Reorder the terms:
6 + 12n = 9(4 + 6n) + 7
6 + 12n = (4 * 9 + 6n * 9) + 7
6 + 12n = (36 + 54n) + 7

Reorder the terms:
6 + 12n = 36 + 7 + 54n

Combine like terms: 36 + 7 = 43
6 + 12n = 43 + 54n

Solving
6 + 12n = 43 + 54n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-54n' to each side of the equation.
6 + 12n + -54n = 43 + 54n + -54n

Combine like terms: 12n + -54n = -42n
6 + -42n = 43 + 54n + -54n

Combine like terms: 54n + -54n = 0
6 + -42n = 43 + 0
6 + -42n = 43

Add '-6' to each side of the equation.
6 + -6 + -42n = 43 + -6

Combine like terms: 6 + -6 = 0
0 + -42n = 43 + -6
-42n = 43 + -6

Combine like terms: 43 + -6 = 37
-42n = 37

Divide each side by '-42'.
n = -0.880952381

Simplifying
n = -0.880952381